A computer password generally consists of eight characters from letters (con- sider only lower cases) and digits 0 9 that can be re-used (it is OK to have a password like "aabb7800"). A valid password for a certain system should contain exactly two digits and all characters are used only once. What is the probability a password is valid for the system? (Factorial/combination/permutation expressions are OK, no need to simplify.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
Problem 74E: Lottery Powerball is a lottery game that is operated by the Multi-State Lottery Association and is...
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Can someone please help me to solve the following question.
1.
A computer password generally consists of eight characters from letters (con-
sider only lower cases) and digits 0 - 9 that can be re-used (it is OK to have a password
like "aabb7800"). A valid password for a certain system should contain exactly two digits
and all characters are used only once. What is the probability a password is valid for the
system?
(Factorial/combination/permutation expressions are OK, no need to simplify.)
Transcribed Image Text:1. A computer password generally consists of eight characters from letters (con- sider only lower cases) and digits 0 - 9 that can be re-used (it is OK to have a password like "aabb7800"). A valid password for a certain system should contain exactly two digits and all characters are used only once. What is the probability a password is valid for the system? (Factorial/combination/permutation expressions are OK, no need to simplify.)
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